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172372720 = 245131071549
BaseRepresentation
bin10100100011000…
…11001011110000
3110000100102220211
422101203023300
5323111411340
625034313504
74162100242
oct1221431360
9400312824
10172372720
11893331a3
1249888894
13299332c0
1418c70092
15101ed5ea
hexa4632f0

172372720 has 80 divisors (see below), whose sum is σ = 435909600. Its totient is φ = 63009792.

The previous prime is 172372703. The next prime is 172372721. The reversal of 172372720 is 27273271.

172372720 is nontrivially palindromic in base 12.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172372721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110506 + ... + 112054.

It is an arithmetic number, because the mean of its divisors is an integer number (5448870).

Almost surely, 2172372720 is an apocalyptic number.

172372720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172372720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217954800).

172372720 is an abundant number, since it is smaller than the sum of its proper divisors (263536880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172372720 is a wasteful number, since it uses less digits than its factorization.

172372720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 172372720 is about 13129.0791756315. The cubic root of 172372720 is about 556.5311936021.

The spelling of 172372720 in words is "one hundred seventy-two million, three hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 130 208 214 260 428 520 535 856 1040 1070 1391 1549 1712 2140 2782 3098 4280 5564 6196 6955 7745 8560 11128 12392 13910 15490 20137 22256 24784 27820 30980 40274 55640 61960 80548 100685 111280 123920 161096 165743 201370 322192 331486 402740 662972 805480 828715 1325944 1610960 1657430 2154659 2651888 3314860 4309318 6629720 8618636 10773295 13259440 17237272 21546590 34474544 43093180 86186360 172372720